{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import warnings\n",
    "warnings.filterwarnings(action = 'ignore')\n",
    "%matplotlib inline\n",
    "plt.rcParams['font.sans-serif']=['SimHei']  #解决中文显示乱码问题\n",
    "plt.rcParams['axes.unicode_minus']=False\n",
    "import sklearn.linear_model as LM\n",
    "from sklearn.metrics import classification_report\n",
    "from sklearn.model_selection import cross_val_score,train_test_split\n",
    "from sklearn.datasets import make_regression\n",
    "from sklearn import tree\n",
    "from sklearn.preprocessing import LabelEncoder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(123)\n",
    "N=50\n",
    "n=int(0.5*N)\n",
    "X=np.random.normal(0,1,size=100).reshape(N,2)\n",
    "Y=[0]*n+[1]*n\n",
    "X[0:n]=X[0:n]+1.5\n",
    "X1,X2 = np.meshgrid(np.linspace(X[:,0].min(),X[:,0].max(),100), np.linspace(X[:,1].min(),X[:,1].max(),100))\n",
    "data=np.hstack((X1.reshape(10000,1),X2.reshape(10000,1)))\n",
    "\n",
    "fig,axes=plt.subplots(nrows=2,ncols=2,figsize=(15,12))\n",
    "for K,H,L in [(2,0,0),(4,0,1),(6,1,0),(8,1,1)]:\n",
    "    modelDTC = tree.DecisionTreeClassifier(max_depth=K,random_state=123)\n",
    "    modelDTC.fit(X,Y)\n",
    "    Yhat=modelDTC.predict(data)    \n",
    "    for k,c in [(0,'silver'),(1,'red')]:\n",
    "        axes[H,L].scatter(data[Yhat==k,0],data[Yhat==k,1],color=c,marker='o',s=1)\n",
    "    axes[H,L].scatter(X[:n,0],X[:n,1],color='black',marker='+')\n",
    "    axes[H,L].scatter(X[(n+1):N,0],X[(n+1):N,1],color='magenta',marker='o')\n",
    "    axes[H,L].set_xlabel(\"X1\")\n",
    "    axes[H,L].set_ylabel(\"X2\")\n",
    "    axes[H,L].set_title(\"%d层决策树(训练误差%.2f)\"%((K,1-modelDTC.score(X,Y))))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "说明：1、基于图3.2的模拟数据，采用不同树深度的决策树进行分类预测。直观展示对2维空间划分所形成的多个分类边界。\n",
    "2、左上图是树深度为2时的分类边界，整体上分类边界比较规则，训练误差18%较高。\n",
    "3、右上图和左下图是树深度为4和6时的分类边界。可见，区域划分更加细致，分类边界增加且整体上逐渐复杂，训练误差分别为14%和2%。\n",
    "4、由下图是树深度为8时的区域划分情况。可见，区域划分进一步细致，整体上分类边界复杂，训练误差降至0.0%。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
